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Stat 212 Final Review

# Stat 212 Final Review - If we draw a random sample from a...

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If we draw a random sample from a normal distribution population: o The sample mean is not equal to the sample median o The sample mean is not always equal to the population mean o The sample variance is not always larger than the population variance If the correlation coefficient of two random variables x and y is zero, then o X and y are not independent o E(XY) is equal to E(X) x E(Y) For the sampling distribution of the sample mean x-bar: o Mu of x-bar is equal to mu of population o X-bar does not always follow a normal distribution Changing the sample size or increasing the significance level cannot make the power and P(Type II error) both increase The Central Limit Theorem says that the distribution of x-bar will be approximately normal given a large sample size and a normal population distribution Greater confidence level, greater standard deviation, and smaller sample size all increase the width of the confidence interval For a Student-t distribution, it is

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